a savings account is started with an initial deposit of $500. the account earns 4.5% interest compounded annually.

(a) write an equation to represent the amount of money in the account as a function of time in years.
(b) find the amount of time it takes for the account balance to reach $1200. show your work.

a) The formula for compound interest is:

Total = starting amount x (1 + interest rate)^ number of years

b)

Using the given information you have:

1200 = 500 x (1+0.045)^x where x is the length of time you want to find.

1200 = 500 (1.045)^x

Divide both sides by 500:

2.4 = 1.045^x

Use natural logarithms:

ln(1.045^x) = ln(2.4)

Solve for x:

X = ln(2.4) / ln(1.045)

X = 19.889 years ( Round the answer as needed).

30

step-by-step explanation:

times by times

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet